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Finding the Fourth Proportional to 177,914.21, 245,519.42 and 97,340.58

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Solution

The fourth proportional to 177,914.21, 245,519.42 and 97,340.58 is: 134,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,914.21 : 245,519.42 = 97,340.58 : x
  2. Step 2: Convert to fraction form
    177,914.21/245,519.42 = 97,340.58/x
  3. Step 3: Cross multiply
    177,914.21x = 245,519.42 × 97,340.58
  4. Step 4: Simplify right side
    177,914.21x = 23,899,002,257.36
  5. Step 5: Solve for x
    x = 23,899,002,257.36/177,914.21
  6. Step 6: Final answer
    x = 134,328.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.